# How do you graph -2x-y<4 on the coordinate plane?

##### 1 Answer
May 3, 2017

$x >$$- \frac{y}{2} - 2$

#### Explanation:

$- 2 x - y < 4$

add y to both sides:

$- 2 x <$$y + 4$

divide both sides by $- 2$. be sure to flip the sign because youre dividing by a negative number:

$x >$$- \frac{y}{2} - 2$

to graph the inequality, you can plug in any x value to find the matching y value. For example:

$- 2 \left(1\right) - y < 4$
$y >$$- 6$
$\left(1 , - 6\right)$

$- 2 \left(7\right) - y < 4$
$y >$$- 18$
$\left(7 , - 18\right)$

you can use the points to find the line of inequality.
graph{x>(-y/2)-2 [-32.66, 3 2.67, -16.33, 16.33]}